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SOS---2.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL020-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 14:27:24 EDT 2022

% Result   : Unsatisfiable 266.02s 266.30s
% Output   : Refutation 266.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul  3 18:06:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox on n021.cluster.edu,
% 0.19/0.36  Sun Jul  3 18:06:31 2022
% 0.19/0.36  The command was "./sos".  The process ID is 17257.
% 0.19/0.36  
% 0.19/0.36  set(prolog_style_variables).
% 0.19/0.36  set(auto).
% 0.19/0.36     dependent: set(auto1).
% 0.19/0.36     dependent: set(process_input).
% 0.19/0.36     dependent: clear(print_kept).
% 0.19/0.36     dependent: clear(print_new_demod).
% 0.19/0.36     dependent: clear(print_back_demod).
% 0.19/0.36     dependent: clear(print_back_sub).
% 0.19/0.36     dependent: set(control_memory).
% 0.19/0.36     dependent: assign(max_mem, 12000).
% 0.19/0.36     dependent: assign(pick_given_ratio, 4).
% 0.19/0.36     dependent: assign(stats_level, 1).
% 0.19/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36     dependent: assign(sos_limit, 5000).
% 0.19/0.36     dependent: assign(max_weight, 60).
% 0.19/0.36  clear(print_given).
% 0.19/0.36  
% 0.19/0.36  list(usable).
% 0.19/0.36  
% 0.19/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.19/0.36  
% 0.19/0.36  This is a Horn set without equality.  The strategy will
% 0.19/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.19/0.36  in usable.
% 0.19/0.36  
% 0.19/0.36     dependent: set(hyper_res).
% 0.19/0.36     dependent: clear(order_hyper).
% 0.19/0.36  
% 0.19/0.36  ------------> process usable:
% 0.19/0.36  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36  
% 0.19/0.36  ======= end of input processing =======
% 0.19/0.38  
% 0.19/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38  
% 0.19/0.38  Stopped by limit on number of solutions
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  -------------- Softie stats --------------
% 0.19/0.38  
% 0.19/0.38  UPDATE_STOP: 300
% 0.19/0.38  SFINDER_TIME_LIMIT: 2
% 0.19/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38  number of clauses in intial UL: 2
% 0.19/0.38  number of clauses initially in problem: 3
% 0.19/0.38  percentage of clauses intially in UL: 66
% 0.19/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.38  percent of all initial clauses that are short: 100
% 0.19/0.38  absolute distinct symbol count: 5
% 0.19/0.38     distinct predicate count: 1
% 0.19/0.38     distinct function count: 1
% 0.19/0.38     distinct constant count: 3
% 0.19/0.38  
% 0.19/0.38  ---------- no more Softie stats ----------
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  =========== start of search ===========
% 7.48/7.69  
% 7.48/7.69  
% 7.48/7.69  Changing weight limit from 60 to 52.
% 7.48/7.69  
% 7.48/7.69  Model 2 (0.00 seconds, 0 Inserts)
% 7.48/7.69  
% 7.48/7.69  Stopped by limit on number of solutions
% 7.48/7.69  
% 7.48/7.69  Resetting weight limit to 52 after 125 givens.
% 7.48/7.69  
% 7.73/7.91  
% 7.73/7.91  
% 7.73/7.91  Changing weight limit from 52 to 48.
% 7.73/7.91  
% 7.73/7.91  Resetting weight limit to 48 after 130 givens.
% 7.73/7.91  
% 8.83/9.02  
% 8.83/9.02  
% 8.83/9.02  Changing weight limit from 48 to 44.
% 8.83/9.02  
% 8.83/9.02  Resetting weight limit to 44 after 145 givens.
% 8.83/9.02  
% 9.72/9.91  
% 9.72/9.91  
% 9.72/9.91  Changing weight limit from 44 to 40.
% 9.72/9.91  
% 9.72/9.91  Resetting weight limit to 40 after 165 givens.
% 9.72/9.91  
% 10.88/11.06  
% 10.88/11.06  
% 10.88/11.06  Changing weight limit from 40 to 32.
% 10.88/11.06  
% 10.88/11.06  Resetting weight limit to 32 after 200 givens.
% 10.88/11.06  
% 15.08/15.28  
% 15.08/15.28  
% 15.08/15.28  Changing weight limit from 32 to 28.
% 15.08/15.28  
% 15.08/15.28  Modelling stopped after 300 given clauses and 0.00 seconds
% 15.08/15.28  
% 15.08/15.28  
% 15.08/15.28  Resetting weight limit to 28 after 490 givens.
% 15.08/15.28  
% 71.18/71.42  
% 71.18/71.42  
% 71.18/71.42  Changing weight limit from 28 to 24.
% 71.18/71.42  
% 71.18/71.42  Resetting weight limit to 24 after 3620 givens.
% 71.18/71.42  
% 266.02/266.30  
% 266.02/266.30  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 266.02/266.30  
% 266.02/266.30  ----> UNIT CONFLICT at 260.99 sec ----> 760909 [binary,760908.1,2.1] {-} $F.
% 266.02/266.30  
% 266.02/266.30  Length of proof is 102.  Level of proof is 48.
% 266.02/266.30  
% 266.02/266.30  ---------------- PROOF ----------------
% 266.02/266.30  % SZS status Unsatisfiable
% 266.02/266.30  % SZS output start Refutation
% 266.02/266.30  
% 266.02/266.30  1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 266.02/266.30  2 [] {+} -is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(c,b)))).
% 266.02/266.30  3 [] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B)))).
% 266.02/266.30  4 [hyper,3,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),B),A))).
% 266.02/266.30  5 [hyper,4,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),equivalent(equivalent(equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(D,F),E))),G),H)),equivalent(H,G))).
% 266.02/266.30  7 [hyper,4,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),equivalent(equivalent(D,E),equivalent(equivalent(F,E),D))),F)).
% 266.02/266.30  20 [hyper,5,1,7] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),F),B),A)),F)).
% 266.02/266.30  33 [hyper,20,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),D),equivalent(equivalent(E,F),equivalent(equivalent(equivalent(equivalent(G,equivalent(equivalent(H,I),equivalent(equivalent(G,I),H))),D),F),E)))).
% 266.02/266.30  34 [hyper,20,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(equivalent(E,equivalent(equivalent(F,G),equivalent(equivalent(E,G),F))),H),D),C)),H),B),A))).
% 266.02/266.30  87 [hyper,34,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),F),B),A)),F),equivalent(equivalent(G,H),equivalent(equivalent(I,H),G))),I)).
% 266.02/266.30  125 [hyper,33,1,20] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),D),D),equivalent(equivalent(E,F),equivalent(equivalent(G,F),E))),G)).
% 266.02/266.30  150 [hyper,125,1,5] {+} is_a_theorem(equivalent(A,A)).
% 266.02/266.30  153 [hyper,125,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),D),D)).
% 266.02/266.30  158 [hyper,150,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,C),B),A))).
% 266.02/266.30  165 [hyper,158,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,B),C),D)),equivalent(D,C))).
% 266.02/266.30  173 [hyper,158,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(A,C),B))),equivalent(equivalent(equivalent(D,D),E),F)),equivalent(F,E))).
% 266.02/266.30  174 [hyper,158,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(E,E),D),C)),B),A))).
% 266.02/266.30  175 [hyper,158,1,150] {+} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),B)).
% 266.02/266.30  194 [hyper,158,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(B,D),C))),E),F)),equivalent(F,E))).
% 266.02/266.30  215 [hyper,165,1,153] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,C),D),B),A)),D)).
% 266.02/266.30  222 [hyper,175,1,158] {+} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,C),B))).
% 266.02/266.30  232 [hyper,175,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,C),D),D),B),A))).
% 266.02/266.30  265 [hyper,222,1,175] {+} is_a_theorem(equivalent(equivalent(A,A),equivalent(B,B))).
% 266.02/266.30  324 [hyper,215,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),equivalent(equivalent(equivalent(equivalent(E,E),F),D),C)),F),B),A))).
% 266.02/266.30  332 [hyper,265,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,C),equivalent(D,D)),B),A))).
% 266.02/266.30  476 [hyper,332,1,232] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(B,B)),equivalent(equivalent(equivalent(equivalent(equivalent(C,C),D),D),E),F)),equivalent(F,E))).
% 266.02/266.30  507 [hyper,332,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(B,B)),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),F),G)),equivalent(G,F))).
% 266.02/266.30  546 [hyper,174,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(B,C),equivalent(equivalent(equivalent(D,D),C),B)),E),F)),equivalent(F,E))).
% 266.02/266.30  567 [hyper,174,1,222] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,C),B),A)),equivalent(equivalent(D,D),E)),equivalent(equivalent(F,F),E))).
% 266.02/266.30  5233 [hyper,173,1,165] {-} is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,B),A),C),C))).
% 266.02/266.30  5302 [hyper,5233,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(equivalent(equivalent(D,D),C),E),E)),B),A))).
% 266.02/266.30  8016 [hyper,324,1,175] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,C),D),B),A)),D),E),E)).
% 266.02/266.30  9434 [hyper,546,1,8016] {-} is_a_theorem(equivalent(A,equivalent(equivalent(equivalent(equivalent(B,B),A),equivalent(equivalent(equivalent(C,C),D),E)),equivalent(E,D)))).
% 266.02/266.30  9666 [hyper,567,1,5302] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(equivalent(B,B),equivalent(equivalent(C,C),D)),E),E),D))).
% 266.02/266.30  9731 [hyper,9666,1,476] {+} is_a_theorem(equivalent(A,equivalent(equivalent(B,B),A))).
% 266.02/266.30  9735 [hyper,9666,1,194] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(equivalent(equivalent(D,D),equivalent(equivalent(E,E),A)),C),B)))).
% 266.02/266.30  10046 [hyper,9735,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(B,C),equivalent(equivalent(equivalent(equivalent(D,D),equivalent(equivalent(E,E),F)),C),B))),F)).
% 266.02/266.30  10099 [hyper,9731,1,9434] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(B,equivalent(equivalent(C,C),B))),equivalent(equivalent(equivalent(D,D),E),F)),equivalent(F,E))).
% 266.02/266.30  10142 [hyper,9731,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(D,D),C)),B),A))).
% 266.02/266.30  10353 [hyper,10142,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,equivalent(equivalent(C,C),B)),D),E)),equivalent(E,D))).
% 266.02/266.30  35228 [hyper,10099,1,507] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(B,D),C))),A))).
% 266.02/266.30  36885 [hyper,35228,1,87] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,equivalent(equivalent(D,E),equivalent(equivalent(C,E),D))),A)),B)).
% 266.02/266.30  38247 [hyper,36885,1,9731] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(D,F),E))),B)),C))).
% 266.02/266.30  38251 [hyper,36885,1,8016] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(B,D),C))),equivalent(E,F))),F),E)).
% 266.02/266.30  90058 [hyper,38247,1,546] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),C),equivalent(equivalent(D,equivalent(equivalent(E,F),equivalent(equivalent(D,F),E))),equivalent(C,B)))).
% 266.02/266.30  90062 [hyper,38251,1,10046] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(B,B),C)),equivalent(equivalent(D,E),equivalent(equivalent(C,E),D)))).
% 266.02/266.30  119978 [hyper,90058,1,7] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,C),A)),B)).
% 266.02/266.30  120171 [hyper,119978,1,9731] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,D),B)),C))).
% 266.02/266.30  120251 [hyper,119978,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,B),equivalent(equivalent(D,D),C)))).
% 266.02/266.30  120420 [hyper,120171,1,546] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),C),equivalent(equivalent(D,D),equivalent(C,B)))).
% 266.02/266.30  120421 [hyper,120171,1,507] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),equivalent(equivalent(D,D),C))).
% 266.02/266.30  120874 [hyper,120251,1,120171] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,D),B)),C)),equivalent(equivalent(E,E),A))).
% 266.02/266.30  122473 [hyper,120420,1,90062] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,C),B)),equivalent(equivalent(E,E),D)))).
% 266.02/266.30  122880 [hyper,120421,1,119978] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),B),A)).
% 266.02/266.30  123317 [hyper,122880,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,C),C))).
% 266.02/266.30  123320 [hyper,122880,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),D),C),B),A))).
% 266.02/266.30  135446 [hyper,123320,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(equivalent(B,C),C),B),D),E)),equivalent(E,D))).
% 266.02/266.30  141032 [hyper,122473,1,10353] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,equivalent(equivalent(C,C),D)),D))).
% 266.02/266.30  141045 [hyper,122473,1,507] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,equivalent(equivalent(C,D),equivalent(equivalent(E,D),C))),E))).
% 266.02/266.30  141054 [hyper,141032,1,120420] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,equivalent(equivalent(C,C),D)),D),B))).
% 266.02/266.30  141212 [hyper,141054,1,507] {-} is_a_theorem(equivalent(A,equivalent(equivalent(A,B),B))).
% 266.02/266.30  141726 [hyper,141212,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(C,equivalent(equivalent(C,D),D)),B),A))).
% 266.02/266.30  146267 [hyper,141726,1,120874] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),C),equivalent(equivalent(D,D),B)))).
% 266.02/266.30  151377 [hyper,146267,1,123317] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),B),equivalent(equivalent(C,C),A)),D),D)).
% 266.02/266.30  151423 [hyper,146267,1,546] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),equivalent(B,C)),equivalent(equivalent(equivalent(D,D),C),B))).
% 266.02/266.30  151424 [hyper,146267,1,507] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,D),equivalent(equivalent(B,D),C)))).
% 266.02/266.30  151799 [hyper,151423,1,120420] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(equivalent(B,B),C),D),equivalent(D,C)))).
% 266.02/266.30  151890 [hyper,151799,1,151377] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,A),B),C),equivalent(C,B))).
% 266.02/266.30  152005 [hyper,151890,1,151424] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),C)).
% 266.02/266.30  152608 [hyper,152005,1,141212] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),C),D),D)).
% 266.02/266.30  174715 [hyper,135446,1,122473] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(B,C),equivalent(equivalent(C,D),D)))).
% 266.02/266.30  175807 [hyper,174715,1,151890] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(B,C),C)),A)).
% 266.02/266.30  175826 [hyper,174715,1,120420] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(equivalent(C,D),D)),B))).
% 266.02/266.30  176952 [hyper,175826,1,135446] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),B),equivalent(equivalent(A,C),C))).
% 266.02/266.30  177101 [hyper,176952,1,9731] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),C),equivalent(equivalent(B,D),D)))).
% 266.02/266.30  220935 [hyper,141045,1,151890] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(D,C),B))),D),A)).
% 266.02/266.30  221132 [hyper,220935,1,152608] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),A),B)).
% 266.02/266.30  221671 [hyper,221132,1,9731] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),B),C))).
% 266.02/266.30  221749 [hyper,221132,1,158] {-} is_a_theorem(equivalent(equivalent(equivalent(A,A),B),equivalent(equivalent(C,B),C))).
% 266.02/266.30  221751 [hyper,221132,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(equivalent(C,D),C),D),B),A))).
% 266.02/266.30  223281 [hyper,221749,1,221671] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),B),C)),A)).
% 266.02/266.30  223300 [hyper,221749,1,177101] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),C),equivalent(equivalent(B,D),D))),A)).
% 266.02/266.30  239194 [hyper,221751,1,223281] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,A),B))).
% 266.02/266.30  263455 [hyper,223300,1,221751] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),A),C),C),B)).
% 266.02/266.30  263628 [hyper,263455,1,239194] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(equivalent(equivalent(B,C),B),D),D),C)),A)).
% 266.02/266.30  263670 [hyper,263455,1,220935] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),A),equivalent(equivalent(C,D),equivalent(equivalent(B,D),C)))).
% 266.02/266.30  263723 [hyper,263455,1,175807] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(equivalent(B,C),C)),A),B)).
% 266.02/266.30  264312 [hyper,263723,1,220935] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,B),A)),equivalent(equivalent(C,D),D))).
% 266.02/266.30  351509 [hyper,264312,1,220935] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),B),C),A),C)).
% 266.02/266.30  351540 [hyper,264312,1,36885] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(A,B),C)),equivalent(C,B))).
% 266.02/266.30  351915 [hyper,351509,1,264312] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(A,C),C),B))).
% 266.02/266.30  352431 [hyper,351540,1,263670] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,A),C)),B)).
% 266.02/266.30  358684 [hyper,352431,1,351540] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))).
% 266.02/266.30  359400 [hyper,358684,1,239194] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(C,B))),A)).
% 266.02/266.30  359815 [hyper,358684,1,351915] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),B),C),equivalent(A,C))).
% 266.02/266.30  359816 [hyper,358684,1,351540] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(C,equivalent(equivalent(C,B),A)))).
% 266.02/266.30  380424 [hyper,359400,1,351540] {-} is_a_theorem(equivalent(A,equivalent(equivalent(A,equivalent(B,C)),equivalent(C,B)))).
% 266.02/266.30  388052 [hyper,359816,1,359815] {-} is_a_theorem(equivalent(A,equivalent(B,equivalent(equivalent(B,C),equivalent(A,C))))).
% 266.02/266.30  445566 [hyper,380424,1,263628] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),A),equivalent(C,B))).
% 266.02/266.30  450209 [hyper,388052,1,351540] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(A,C)),B)).
% 266.02/266.30  491860 [hyper,450209,1,220935] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(C,B),A))).
% 266.02/266.30  526568 [hyper,491860,1,450209] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(B,A),C))).
% 266.02/266.30  526570 [hyper,491860,1,445566] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(C,equivalent(B,A)))).
% 266.02/266.30  609996 [hyper,526568,1,526568] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(B,equivalent(A,C))),C)).
% 266.02/266.30  760908 [hyper,609996,1,526570] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,equivalent(C,A)),equivalent(C,B)))).
% 266.02/266.30  760909 [binary,760908.1,2.1] {-} $F.
% 266.02/266.30  
% 266.02/266.30  % SZS output end Refutation
% 266.02/266.30  ------------ end of proof -------------
% 266.02/266.30  
% 266.02/266.30  
% 266.02/266.30  Search stopped by max_proofs option.
% 266.02/266.30  
% 266.02/266.30  
% 266.02/266.30  Search stopped by max_proofs option.
% 266.02/266.30  
% 266.02/266.30  ============ end of search ============
% 266.02/266.30  
% 266.02/266.30  ----------- soft-scott stats ----------
% 266.02/266.30  
% 266.02/266.30  true clauses given        1267      (21.2%)
% 266.02/266.30  false clauses given       4713
% 266.02/266.30  
% 266.02/266.30        FALSE     TRUE
% 266.02/266.30    12  99        4
% 266.02/266.30    16  2401      39
% 266.02/266.30    20  0         485
% 266.02/266.30    24  0         1972
% 266.02/266.30  tot:  2500      2500      (50.0% true)
% 266.02/266.30  
% 266.02/266.30  
% 266.02/266.30  Model 2 (0.03 seconds, 0 Inserts)
% 266.02/266.30  
% 266.02/266.30  That finishes the proof of the theorem.
% 266.02/266.30  
% 266.02/266.30  Process 17257 finished Sun Jul  3 18:10:57 2022
%------------------------------------------------------------------------------